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(i) Show dimensionally that the equation...

(i) Show dimensionally that the equation of the time period of a simple pendulum of length l. Given relation `T=2pil//g` is incorrect.
(ii) Find its correct form.

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To solve the problem step by step, we will analyze the given equation dimensionally and then derive the correct form of the time period for a simple pendulum. ### Step 1: Analyze the given equation The given equation is: \[ T = 2\pi \frac{L}{g} \] ### Step 2: Identify dimensions - The left-hand side (LHS) represents time \( T \), which has the dimension of time: ...
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